Derive an Expression for a "1/4-Life" for a First-Order Reaction $\frac { \ln \frac { [ \mathrm { A } ] _ { t } } { [ \mathrm {~A} ] _ { 0 } } } { - k }$

question 44

Multiple Choice

Derive an expression for a "1/4-life" for a first-order reaction.

• A) \(\frac { \ln \frac { [ \mathrm { A } ] _ { t } } { [ \mathrm {~A} ] _ { 0 } } } { - k }\)
• B) \(\frac { 0.347 } { k }\)
• C) \(\frac { \ln \frac { [ \mathrm { A } ] _ { t } } { [ \mathrm {~A} ] _ { 0 } } } { - 4 k }\)
• D) \(\frac { 4 } { k }\)
• E) \(\frac { 1.386 } { k }\)

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Definitions:

Salvage Value

An alternative term for residual value, referring to the estimated resale value of an asset at the end of its useful life.

Computed Net

The calculated net value or result after considering all relevant deductions, adjustments, or allowances.

Annuity

An annuity is a financial instrument that provides a consistent series of payments to a person, often serving as a source of income for people in retirement.

Present Value Index

A calculation that compares the present value of net cash inflows to the initial investment, used to evaluate the profitability of an investment.